Which set contains exactly three true statements?

Which set contains exactly three true statements?

• A. F1, F2, F3, F6
• B. F1, F2, F3, F7
• C. F1, F2, F6, F7
• D. F2, F5, F9, F10

Answer: (A)

This type of question relies on self-referential statements about how many statements are true. To have exactly three true statements within the chosen four, three of them must be true and one must be false, all in a way that fits the overall count. The set F1, F2, F3, F6 works because three of these statements line up with the scenario where there are three true statements, while the fourth statement contradicts that count and is false. Specifically, F1, F2, and F3 support the three-true-count, making them true, whereas F6 does not align with that count and is false, yielding exactly three true statements in this set. Any other combination would force a different total of true statements (four or fewer than three), which wouldn’t satisfy the condition of having exactly three true statements.

This type of question relies on self-referential statements about how many statements are true. To have exactly three true statements within the chosen four, three of them must be true and one must be false, all in a way that fits the overall count.

The set F1, F2, F3, F6 works because three of these statements line up with the scenario where there are three true statements, while the fourth statement contradicts that count and is false. Specifically, F1, F2, and F3 support the three-true-count, making them true, whereas F6 does not align with that count and is false, yielding exactly three true statements in this set.

Any other combination would force a different total of true statements (four or fewer than three), which wouldn’t satisfy the condition of having exactly three true statements.